I don't know exactly what type of movement this is, but the tightness of the canon pinion has no influence on the way the gear train works. Except when there is a problem with the wheels (gears) after the canon pinion. But that's what you can check.

does the balance swings without a palet fork? Unwind the mainspring. Remove the palet fork, replace the balance bridge/ balance and give the balance wheel a swing. (if it doesn't swing good, you know that the problem is just that part.)